Back in the 7th grade, our science teacher Mr. Dabney made a bet with us the first day of school. There were about 35 students in the class, and he wagered 35 boxes of donuts there were at least 2 of us that shared the same birthday (he promised he didn’t know this information beforehand).
We took him up on the bet, confident he was making a foolish mistake, but as Mr. Dabney made his way around the room asking our birthdays, a match popped up just as he got to the last couple of students.
So the question is: How many people do you need to have in a room so that there is a greater than 50% chance that 2 of them will share the same birthday?
How many people do you need to have a 97% chance that 2 will share the same birthday?